A triatomic molecule is oriented as follows along the x-axis: mass 2m is at the origin, mass m is at x = a, and, mass 3m is at x = 2a, as shown. What is the moment of inertia of this molecule about the vertical axis (dashed line)? 2m I P m 3m

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**Question:**

A triatomic molecule is oriented as follows along the x-axis: mass \(2m\) is at the origin, mass \(m\) is at \(x = a\), and mass \(3m\) is at \(x = 2a\), as shown. What is the moment of inertia of this molecule about the vertical axis (dashed line)?

**Diagram Explanation:**

The diagram shows a linear arrangement of three masses along a horizontal line (x-axis). From left to right, they are:

- A mass of \(2m\) positioned at the origin (0, 0) on the x-axis.
- A smaller mass of \(m\) located at a position \(x = a\).
- A larger mass of \(3m\) located at position \(x = 2a\).

There is a dashed vertical line through the mass of \(2m\) indicating the axis about which the moment of inertia is to be calculated.

**Options:**

A. \(7 \, ma^2\)  
B. \(9 \, ma^2\)  
C. \(13 \, ma^2\)  
D. \(17 \, ma^2\)

**Answer Choices:**

- ○ D
- ○ C
- ○ A
- ○ B
Transcribed Image Text:**Question:** A triatomic molecule is oriented as follows along the x-axis: mass \(2m\) is at the origin, mass \(m\) is at \(x = a\), and mass \(3m\) is at \(x = 2a\), as shown. What is the moment of inertia of this molecule about the vertical axis (dashed line)? **Diagram Explanation:** The diagram shows a linear arrangement of three masses along a horizontal line (x-axis). From left to right, they are: - A mass of \(2m\) positioned at the origin (0, 0) on the x-axis. - A smaller mass of \(m\) located at a position \(x = a\). - A larger mass of \(3m\) located at position \(x = 2a\). There is a dashed vertical line through the mass of \(2m\) indicating the axis about which the moment of inertia is to be calculated. **Options:** A. \(7 \, ma^2\) B. \(9 \, ma^2\) C. \(13 \, ma^2\) D. \(17 \, ma^2\) **Answer Choices:** - ○ D - ○ C - ○ A - ○ B
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